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Finding the Fourth Proportional to 591,787,590.30, 830,316,611.70 and 591,787,590.30

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Solution

The fourth proportional to 591,787,590.30, 830,316,611.70 and 591,787,590.30 is: 830,316,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,787,590.30 : 830,316,611.70 = 591,787,590.30 : x
  2. Step 2: Convert to fraction form
    591,787,590.30/830,316,611.70 = 591,787,590.30/x
  3. Step 3: Cross multiply
    591,787,590.30x = 830,316,611.70 × 591,787,590.30
  4. Step 4: Simplify right side
    591,787,590.30x = 491,371,066,824,003,776
  5. Step 5: Solve for x
    x = 491,371,066,824,003,776/591,787,590.30
  6. Step 6: Final answer
    x = 830,316,611.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.